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Finding the Fourth Proportional to 544.66, 814.86 and 457.49

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Solution

The fourth proportional to 544.66, 814.86 and 457.49 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.66 : 814.86 = 457.49 : x
  2. Step 2: Convert to fraction form
    544.66/814.86 = 457.49/x
  3. Step 3: Cross multiply
    544.66x = 814.86 × 457.49
  4. Step 4: Simplify right side
    544.66x = 372,790.30
  5. Step 5: Solve for x
    x = 372,790.30/544.66
  6. Step 6: Final answer
    x = 684.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.